Answer:
W = 96.875 N
Explanation:
For this exercise let's use the law of universal gravitation
F = [tex]G \frac{m M }{r^2}[/tex]
we substitute this force in Newton's second law
F = m a
G \frac{m M }{r^2} = m a
a = [tex]G \frac{M}{r^2}[/tex]
This sidewalk we will call it gravity acceleration
g₀ = a
the weight of a body is
W₀ = m g₀
if we change the cario of r ’= 4r
a’= [tex]G \frac{M}{r'^2 }[/tex]
a ’= G \frac{M}{(4r)^2 }
a' = [tex]G \frac{M}{r^2} \ \frac{1}{16}[/tex]
a ’= [tex]\frac{g_o}{16}[/tex]
therefore the weight of the body must be
W = m g = [tex]m \ \frac{g_o}{16}[/tex]
W = W₀ / 16
W = 1550/16
W = 96.875 N
How do you solve a line cut by a transversal?
To solve a line cut by a transversal, use the properties of parallel lines, such as corresponding angles and alternate interior angles, to find the unknown angle measurements.
When a line is cut by a transversal, a number of simultaneous equations can be formed by using the properties of parallel lines. For example, the corresponding angles of the lines will always be equal, the alternate interior angles will be equal, and the consecutive interior angles will add up to 180 degrees. Using these properties, you can identify the unknown angle measurements. For example, if the measure of one of the corresponding angles is known, the measure of the other corresponding angle can be determined simply by using the fact that they are equal. Similarly, if one of the alternate interior angles is known, the other can be determined using the fact that they are equal. By forming these equations, you can solve for the unknown angle measurements.
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Two identical steel columns are used to support a level beam. Heat Heat B Image not displaying? As Column A gets heated, what happens to the ball? It moves left along the beam It falls straight down from its current position It moves right along the beam Nothing A streetlight is in a windstorm that exceeds the design rating. E Wind direction Light pole C D Base (в Ground Image not displaying? Which is the most likely location for a crack to start? A B D E An air tank is exposed to ambient temperature. If you set the air pressure of the tank to 35 psi for a leak test and find that 24 hours later the tank's pressure has increased, what could've happened? The tank leaked The tank drew in additional air The ambient temperature increased The ambient temperature decreased
A vertical structural component called a steel column is employed in building to offer crucial support. They might transfer loads from beams, ceilings, floor slabs, or roof slabs to floors or foundations, or they might transport loads in compression.
Additionally, bending moments along cross-section axes may be present in steel columns. Explanation: Beam-column structural members are those that experience simultaneous heavy axial compressive loads and bending. Only the existence of eccentric load application, end moments, and transverse loads distinguishes a beam-column from a column. 3. Describe girt. They might transfer loads from beams, ceilings, floor slabs, or roof slabs to floors or foundations, or they might transport loads in compression. Additionally, bending moments near cross-section may exist in steel columns.
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What is the force required to keep the object sliding on a surface with the same speed?
The amount of force necessary to maintain an object is moving at precisely the same speed—or sliding friction—is measured. The object begins to move after the imparted force. static or sliding friction measurement.
The definition of friction force
Intensity of Friction What Is Frictional Force? Friction is the force that prevents motion when one object's face scrapes against another's surface. The mechanical advantage of a machine is diminished by friction, or even more specifically by a decline in the output to input ratio.
Why is friction an antagonistic force?
Rubbing acts as just a repelling force when one body moves through a surface. Friction is the result of two surfaces interacting with one another. If a layer is not fluid, then objects cannot move through it.
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What does an ammeter measure?
An ammeter is a device used to measure electric current in amperes, either in direct current (DC) or alternating current (AC).
Ammeters measure current in what ways?
A shunt resistor is used in digital ammeter systems to create a calibrated voltage proportionate to the current flowing. The analog-to-digital converter (ADC) in a digital voltmeter is then used to measure this voltage; the digital display is calibrated to show the current flowing through the shunt.
What three purposes does an ammeter serve?
1. It is utilise to gauge circuit current.
2. It is utilised in circuits to determine whether or not they are functioning properly.
3. It is also used in the electronic industry to examine the circuit and usage of the appliances.
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What is the list order of accuracy for the second derivative Mcq?
The least possible order of accuracy for the second derivatives is 2.
What are derivatives?
A derivative is a security with a price that is dependent on or derived from one or more underlying assets. A derivative itself is a contract between two or more parties based on an asset or assets. Its value is determined by the fluctuations of the underlying asset. The common underlying assets include shares, bonds, commodities, currencies,. Interest rates and market indices.Derivatives can be traded (over-the-counter, OTC) or on an exchange. OTC derivatives make up a larger proportion of existing derivatives and are unregulated, while exchange-traded derivatives are standardizedTo know more about derivatives, click the link given below:
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a toad leaps straight upward. during takeoff, a 42 n normal force from the ground causes the toad to accelerate upward at 3.5 m/s/s. what is the mass of the toad?
The mass of the toad is 12kg if a 42N normal force from the ground causes the toad to accelerate upward at 3.5m/sec²
We know that according to newton second law of motion, which states that acceleration increase of a molecule is corresponding to the power applied to it and is toward this power. The proportionality steady is the mass m for a consistent mass molecule or an unbending body going through translatory movement whose inactivity can be decreased to a point.
We know that from newton second law of motion F=ma which is derived from the formula F=dp/dt where dp is the rate of change of momentum.Here. m is the mass of the body and a is the acceleration of the body.
We have F=42N,a=3.5m/sec²,m=?
Therefore,42N=m×3.5m/sec²
=>m=42N/3.5m/sec²
=>m=12kg
Hence, mass of the toad is 12kg.
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What is the name for this timeboxed iteration?
Scrum teams typically use brief iterations to get fast feedback from a variety of customers at a particular time.
This time-boxed iteration is referred to in Scrum as a Sprint, and it typically lasts one week. A timeboxed iteration is a time-restricted period during which the team concentrates on a single objective and creates a new piece of software. This is a sprint in the Scrum methodology where the team works toward the sprint goal specified in the sprint planning. A timebox is a set amount of time during which a person or a team works to achieve a common objective. Timeboxing is a tool used in agile project management to keep work moving quickly and on schedule. It is also an important part of Scrum.
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What is the distance between two wave front?
The distance between two wavefronts is termed as wavelength.
The wavelength of a sound wave is defined as the space between two adjacent wavefronts. The number of wavefronts the observer detects during a period of time can be used to calculate the wave's frequency.
The medium (such as a vacuum, air, or body of water) through which a wave travels determines its wavelength. Waves can be anything from music to light to water to periodic electrical signals. While light and other electromagnetic radiation use variations in electric and magnetic field strength, sound waves are variations in air pressure. Water waves are fluctuations in a body of water's height. Atomic locations change during the shaking of a crystal lattice.
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A narrow beam of light is travelling through a transparent liquid. It meets the surface as shown, at
an angle of incidence of 40°. The refractive index of the liquid is 1.5.
air
liquid
40
What is the angle of refraction as the light enters the air?
A 25
B 27
C 60°
D 75
Answer:
the correct answer is B) 27.
Explanation:
To find the angle of refraction, you can use the formula:
n1 * sin(angle of incidence) = n2 * sin(angle of refraction)
where n1 and n2 are the refractive indices of the two media (in this case, air and the liquid), and the angles are measured from the normal to the surface.
Plugging in the values from the problem, we have:
1 * sin(40) = 1.5 * sin(angle of refraction)
Solving for the angle of refraction, we get:
angle of refraction = sin^-1(1/1.5 * sin(40))
Using a calculator or a table of trigonometric functions, we can find that the value of sin^-1(1/1.5 * sin(40)) is approximately 27.3 degrees.
Therefore, the correct answer is B) 27.
Which excerpt is an example of situational irony in sake's the storyteller?
“Most of the aunt’s remarks seemed to begin with ‘Don’t,’ and nearly all of the children’s remarks began with ‘Why?’ The bachelor said nothing out loud. ‘Don’t, Cyril, don’t,’ exclaimed the aunt, as the small boy began smacking the cushions of the seat, producing a cloud of dust at each blow.”
This statement is the correct answer for it.
It is taken from The story-teller, written by Saki.
What is situational irony?Situational irony is the irony of something happening that is very different to what was expected.
Irony involves a situation in which actions have an effect that is opposite from what was intended, so that the outcome is contrary to what was expected.
Situational irony involves the result of a situation not matching with your expectations, such as a baker being allergic to flour.
Situational irony allows writers to show the characters' intentions versus the outcomes, appearance versus reality.
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Why was sonar technology so important during the Cold War?
It was created with the aid of ground-breaking research into the ways in which sound travels across water and was intended to keep an eye on the Soviet Union's expanding submarine menace.
What makes sonar so crucial?
To "see" in the water, sonar uses sound waves.
Sonar is largely used by NOAA scientists to create nautical charts, find underwater navigational hazards, find and map things on the bottom like shipwrecks, and map the actual seafloor.
Leonardo da Vinci utilised a tube introduced into the water to listen for vessels in order to employ the technology for the first time, in 1490. To combat the rising threat of submarine warfare, it was developed during World War I, and by 1918, a functioning passive sonar system was in use.
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A car travels with tangential speed V1 around curve of radius and turns to the left; as shown by the rear view of the car in Figure A force diagram of the forces exerted on the car with speed of 5 m/s as it turns is shown in Figure 2. force diagram of the forces exerted on the car with speed as it turns around the same curve of the same radius with the same tangential speed is shown in Figure 3. The speed of the car is most nearly
The speed of the car from the given three figures is most nearly 15 m/s.
How to calculate the speed of the car?For figure 2,
we know the exerted force speed is 5 m/s, so frictional force is
[tex]F_f[/tex] = [tex]\frac{Mv^2}{\gamma}[/tex]
= [tex]\frac{M(5)^2}{\gamma}[/tex]
For figure 3,
we know the frictional force is 9. So,
9 [tex]F_f[/tex] = [tex]\frac{Mv^2}{\gamma}[/tex]
Then using two figures we can calculate the speed of the car.
equation figure 3 / equation figure 2
=> 9 = v^2 / (5)^2
=> v^2 = 9*(5^2)
=> v^2 = 225
=> v = 15 m/s
Thus, the speed of the car is 15 m/s.
Your question is incomplete, but most probably your full question was
(image attached)
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The diagram is an illustration of global atmospheric circulation. Which of the following is the source of energy driving the circulation pattern labeled C in the diagram?
answer choices
The Coriolis effect
Solar radiation
Earth's magnetic field
The spinning core of Earth
Solar radiation is labelled as C in the diagram of global atmospheric circulation.
Winds are created by global atmospheric circulation, which results to areas of significant rainfall, such as tropical rainforests, and areas of dry air, such as deserts.
The global atmospheric circulation model is a simplified representation of the movement of air currents in the atmosphere. It is employed to aid in the explanation of weather patterns and climatic zones. Cells serve as the foundation of the global atmospheric circulation model. These cells are areas where air travels from low to high pressure.
Even though weather fronts and storms cause interruptions, there is a continuous pattern to how air travels about our planet's atmosphere. Because the Sun heats the Earth more at the equator than at the poles, this pattern is known as atmospheric circulation. It is also influenced by earth rotatory.
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henrietta leavitt found a relationship using the cepheid variables (in a star cluster) to help us determine distances. what was the correlation she found between the luminosity of a variable star and the period?
Heritage of Leavitt Using Cepheid variables, the distance to Andromeda of 2.5 million light-years was determined in the 1920s, demonstrating the galaxy's significant distance from the Milky Way.
What does the Cepheid variable do to let us calculate their luminosity?Distance Measuring with Cepheid Variables After determining a distant Cepheid's period, its brightness can be calculated using the known characteristics of Cepheid variables.
How can one determine the distances of star clusters or galaxies using the Cepheid period-luminosity relation?A Cepheid's fluctuation period correlates closely with its luminosity, as Henrietta Swan Levitt observed. The Cepheid becomes increasingly bright as the variability period lengthens. Astronomers have measured the distances to distant galaxies by observing Cepheid variables.
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true or false? a point that moves along the x-axis with constant, positive acceleration must always be moving from left to right
The statement is false. Acceleration is the rate at which velocity changes over time, both in terms of speed and direction.
A point or object travelling in a straight path is accelerated if it accelerates or decelerates. Even if the speed is constant, motion on a circle is accelerated because the direction is always changing. The rate of change of displacement is defined as velocity. The rate of change of velocity is defined as acceleration. Because it includes both magnitude and direction, velocity is a vector quantity. Because it is simply the rate of change of velocity, acceleration is likewise a vector quantity. Acceleration is the change in speed or direction of an object. The rate at which velocity varies is defined as acceleration. Keep in mind that velocity has two components: speed and direction.
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Write Informative Text What type of change mut occur for pure ubtance to combine into new material? Name a few kind of ynthetic material that can be produced by thi type of change
Synthetic fibers, ceramics, polymers, artificial foods and pharmaceuticals, and composites are all examples of synthetic materials. Synthetic fibers are elastic.
They can be used to produce garments as well as other items. Synthetic fibers include rayon, polyester, and nylon. Synthetic fibers (man-made fibers) are created by combining chemical monomers to form polymers through a chemical reaction known as polymerisation. Sodium hydroxide and carbon disulphide are commonly used compounds (derivatives of coal, oil, or natural gas). Synthetic materials, on the other hand, are man-made and cannot be found in nature. Synthetic items are typically generated in laboratories by combining various chemicals or by preparing molecules and substances in a laboratory.
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Why is CO2 so important to the food industry?
CO2 is utilized for a variety of applications throughout the entire food industry.In addition to being used to create sugary beverages, CO2 is also employed in a number of other processes, including the drying of produce to lengthen its shelf life, the usage of dry ice to keep goods cool during shipping, the tranquilization of animals before to slaughter, and many others.
What are the food industries?The manufacturing of food and beverages is actually made up of more than 30 different industries.Slaughterhouses, the preparation of meat, poultry, & fish, grain mills, maltings, bakery, sugar confectioneries, the preparation of vegetables and fruits oils and fats, margarine, and oil seeds, pasta, baby food, and milk products are a few examples.
What are the food industry's four divisions?The agricultural service, producers, processors, & marketers are the major segments of the food industry.
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Some microwaves operate using 1100 W of electrical power. If the current in the outlet is 20 A, what voltage is needed?
The voltage needed is 55 Volt.
What is electric power?
The rate at which energy is converted into an electrical circuit or used to produce work is known as electric power. It is a way to quantify how much energy is consumed over a certain period of time.
Given that: the microwaves operate using 1100 W of electrical power and the current in the outlet is 20 A,
Let, voltage needed is V.
We know that: electric power = voltage*current
Hence, Electric voltage = power / currect
= 1100 W/20 A
= 55 Volt.
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How much power is required for an 80kg firefighter to run up 21.5m in 60s?
The amount of power required for the firefighter to run up the stairs in 60s is 28.66 watts
What is power?Power is described as the amount of energy transferred or converted per unit time.
parameters given ate
mass= 80kg
distance = 60seconds
We need to calculate the distance over which the force is applied. In this case, the firefighter is running up a 21.5m flight of stairs, so the distance is 21.5m.
Then, we calculate the amount of work required, we use the formula
Work done = Force* distance
Work done = 80kg * 21.5m = 1720 Newton
Therefore power = work done/ time
= 1720/ 60
Power = 28.66 watts
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All of the following are examples of heat conduction except
a pressing a shirt with a hot iron.
b warming your hands over a campfire.
C warming your hands by holding a cup of hot
chocolate.
d heating soup in a pan on a stovetop.
Answer:
b
Explanation:
warming your hands over a campfire is not a example of it conduction because in heat conduction the body which transverse heat into the other bodies should be connected physically in the case of farming our hands over campfire there is no solid connectors our hands are being heated due to the radiation from the camp fire
Explain how an object with a higher temperature can have less thermal energy than an object with a lower temperature.
An object with the higher temperature can have less thermal energy than an object with the lower temperature because of the mass difference.
The thermal energy of an object is given by the relation,
Q = mC∆T
Where,
Q is the thermal energy,
m mass of the bodies,
C is the specific heat capacity and,
∆T is the change and temperature.
As we can see, from the above relation that thermal energy is depending on the specific heat and mass of the body. We can understand this thing by the example of an Iceberg and a cup of hot tea. The Iceberg is at a much lower temperature but it has a higher amount of thermal energy because it has a bigger amount of mass.
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In a series circuit there are 17 light bulbs, each providing 1 ohm of resistance. What is the total resistance?.
In a series circuit there are 17 light bulbs, each providing 1 ohm of resistance , the total resistance is 17 ohms.
In a series circuit, the total resistance is equal to the sum of the resistances of all the components in the circuit. In this case, there are 17 light bulbs, each providing 1 ohm of resistance, so the total resistance of the circuit is 17 ohms.
This can be calculated using the equation:
Total Resistance = R1 + R2 + R3 + ... + Rn
where R1, R2, R3, etc. are the resistances of the individual components in the circuit.
In this case, the total resistance would be:
Total Resistance = 1 ohm + 1 ohm + 1 ohm + ... + 1 ohm
This simplifies to:
Total Resistance = 17 ohms
So the total resistance of the circuit is 17 ohms.
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which produces the greater change in kinetic energy (assume that all of the work goes into kinetic energy)? group of answer choices . exerting a 10 n horizontal force through a distance of 5 m exerting a horizontal force of 40 n through a distance of 1m exerting a horizontal force of 20 n through a distance of 2 m exerting a 30 n horizontal force through a distance of 1.5 m
Since we know that kinetic energy equals work done, kinetic energy will produce more in the first scenario.Because the first case's work was more than the second, kinetic energy exists.
Does kinetic energy vary as a result of work?
According to the work-energy theorem, the net work performed by forces acting on an item equals the change in kinetic energy.
When does kinetic energy become more significant?
The kinetic energy of an object, in contrast to potential energy, is relative to other fixed and moving things that are present in its immediate vicinity. For instance, if the object is positioned at a higher height, its kinetic energy will be higher
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A 65kg bicyclist is coasting to the right while experiencing a 50N drag. Neglect any friction impeding the motion. What is the magnitude of the net force on the bicyclist? What is the magnitude of her acceleration?
The net force acting on the bicyclist along with its own weight is 687 N. The magnitude of acceleration for this force is 10.56 m/s².
What is force?Force is a physical quantity characterised by its magnitude and direction. Force deform an object or changes its state of rest or motion. Force of a moving body is the product its mass and acceleration.
The normal force acting on an object by ts weight = mg
thus normal force on 65 kg bicyclist = 65 Kg × 9.8 m/s² = 637 N.
The dragging force acting on him = 50 N.
The resultant force = 637 N + 50 N = 687 N
Force = m a
acceleration = force/ mass
= 687 N/ 65 Kg
= 10.56 m/s².
Therefore, the net force on the bicyclist is 687 N with an acceleration of 10.56 m/s².
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A dynamo in a watch transfers 0.05 W of power every second to make a hand turn. Calculate the energy this transfers to the hand.
The energy transfered to the hand of the watch is 0.05 J.
What is energy?Energy is the ability or the capacity to perform work.
To calculate the energy transfered to the hand, we use the formula below.
Formula:
E = Pt...................Equation 1Where:
E = Energy transferedP = Power transferedt = TimeFrom the question,
Given:
P = 0.05 Wt = 1 secondsSubstitute these values into equation 1
E = 0.05×1E = 0.05 JHence, the energy transfered is 0.05 J.
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A 60kg man standing on a stationary 4okg boat throws a 0.2kg ball with a velocity of 50 m/s. Assuming there is no friction between the man and the boat, what is the speed of the boat after the man throws the ball?
Answer:
5/32 or 0.16 m/s
Explanation:
m1u1 + m2u2 = m1v1 + m2v2
(64x0) + (0.2 x 0) = (64 x v1) + (0.2 x 50)
v = (0.2 x 50) / 64
v = 5/32 or 0.16 m/s
(ignore negative sign as it means that the boat is moving the opposite direction of ball, that's why the answer was coming negative)
I hope my answer helps you.
what does the number 2.001 represent in the following: t(58) = 2.001, p < .05?
The degree of freedom in the equation is denoted by the number 58: t(58)=2.001, p.05.
The degree of freedom refers to how many logically independent value i.e., values with the freedom to change there are in the sample of data. One is deducted from the total number of elements in the data sample when calculating degrees of freedom.
Degrees of freedom can be calculated using a simple statistical technique. Degrees of freedom are equal to the number of values in a data collection less one, as stated by the formula: df = N-1.
N is the total number of values included in this data collection (sample size).
The degrees of freedom, or the quantity of unrestricted data points available for comparison in a t-test The number 58 in the t-test above indicates the degrees of freedom, or the number of unrestricted data points available in a t-test to compare two groups.
(In statistics, a T-test is used to compare the means of two groups. The values required for a t test are the t-value, p-value, and degrees of freedom.)
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what building stands at 1,776 feet tall in a nod to the declaration of independence?
The building that stands at 1,776 feet tall in a nod to the Declaration of Independence is the One World Trade Center in New York City.
The One World Trade Center is the main building of the World Trade Center complex, which was built on the site of the original World Trade Center buildings that were destroyed in the September 11, 2001 attacks.
The height of 1,776 feet was chosen for the One World Trade Center as a symbolic reference to the year 1776, when the Declaration of Independence was signed. The One World Trade Center is the tallest building in the United States, and it is one of the tallest buildings in the world. It features a distinctive spire at the top that is lit up at night, making it a recognizable landmark on the New York City skyline.
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(a) what is the loss of kinetic energy (ki - kf) in the situation described in the example?
The loss of kinetic energy of the moving car is 238,866 J
Kinetic energy is the energy in a moving object due to its motion,
K.E. = 1/2 M[tex]V^{2}[/tex]
Given in the question,
Mass of big car M1 = 1640 kg
Mass of small car M2 = 820 kg
Initial velocity of big car V1 = 0
Initial velocity of small car V2 = 25.6 km/s
using the principle of conservation of momentum,
Total momentum before collision = total momentum after collision
M1V1 + M2V2 = V (M1+M2)
1640 × 0 + 820×25.6 = V ( 1640+ 820)
V = 820 ×25.6 /2460
= 8.53 Km/s
So, loss of kinetic energy of the small car = 1/2 M2[tex]V^{2}[/tex]
= 1/2 × 820× ([tex](25.6)^{2}[/tex] - [tex](8.53)^{2}[/tex])
= 238,866 J
The given question is incomplete, the complete question is
An 1640 kg car stopped at a traffic light is struck from the rear by a 820 kg car. The two cars become entangled, moving along the same path as that of the originally moving car. If the smaller car were moving at 25.6 m/s before the collision, what is the velocity of the entangled cars after the collision?
What is the loss of kinetic energy (Ki - Kf) in the situation described in the example?
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assuming that the styrofoam absorbs a negligibly small amount of heat and that no heat was lost to the surroundings, what is the specific heat capacity of the metal, cmcmc m ? express your answer numerically in joules per kilogram kelvin.
The specific heat capacity of the metal, cm is 214.87 J/kg-k.
As per the given data,
we need to find the specific heat capacity of the metal, cm.
According to the above question,
it is given that,
Weight of chunk of an unknown metal is 1.00kg
chunk has been in boiling water for several minutes and it is quickly dropped into an insulating Styrofoam beaker containing 1.00kg of water at 18.0°C.
After stirring for 5.00 minutes, the water's temperature has reached a constant value of 22.0°C .
The water specific heat capacity is cw = 4190J/(kg)
Now,
temperature of metal is 100 degree celsius ( water boils at 100 degree celsius )
equilibrium temperature = 22 degree celsius
specific heat capacity of water Cw= 4190 J/kg-K
According to question, specific heat capacity of metal be Cm
Therefore,
mass of metal that is Mm = 1 kg
mass of water that is Mw = 1 kg
we know that,
heat energy lost by metal is equal to heat energy gained by water
(assuming no heat is lost to the surroundings)
heat energy lost by metal = Mm * Cm * (100 - 22)
heat energy lost by water = Mw * Cw * (22 - 18 ) (given - initial temperature of water = 18 degree celsius)
therefore,
Mw * Cw * (22 - 18 ) = Mm * Cm * (100 - 22)
4190 * 4 = Cm * 78
Cm = 214.87 J/kg-k
Hence, the specific heat capacity of the metal, cm is 214.87 J/kg-k.
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Complete Question:
A 1.00kg chunk of an unknown metal that has been in boiling water for several minutes is quickly dropped into an insulating Styrofoam beaker containing 1.00kg of water at 18.0°C. After gently stirring for 5.00 minutes, you observe that the water's temperature has reached a constant value of 22.0°C . The specific heat capacity of water is cw = 4190J/(kg-K) . Assuming that the Styrofoam absorbs a negligibly small amount of heat and that no heat was lost to the surroundings, what is the specific heat capacity of the metal cm. Assuming that the Styrofoam absorbs a negligibly small amount of heat and that no heat was lost to the surroundings, what is the specific heat capacity of the metal, cm?